MATH 4540

Last Updated

  • Schedule of Classes - September 22, 2025 1:06PM EDT

MATH 4540
Introduction to Differential Geometry

Course information provided by the 2025-2026 Catalog.

Differential geometry involves using calculus to study geometric concepts such as curvature and geodesics. This introductory course focuses on the differential geometry of curves and surfaces. It may also touch upon the higher-dimensional generalizations, Riemannian manifolds, which underlie the study of general relativity.


Prerequisites a semester of linear algebra (MATH 2210, MATH 2230, MATH 2310, or MATH 2940) and a semester of multivariable calculus (MATH 2220, MATH 2240, or MATH 1920), or equivalent.

Distribution Requirements (MQL-AG, OPHLS-AG), (SMR-AS)

Last 4 Terms Offered 2025SP, 2024SP, 2023SP, 2022SP

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Syllabi: none

  •   Regular Academic Session.  Choose one lecture and one project.

  • 4 Credits Stdnt Opt

  •  2398 MATH 4540   LEC 001

  •  
    • TR
    • Jan 20 - May 5, 2026

    • Cao, X

  • Instruction Mode: In Person

  •  6247 MATH 4540   PRJ 601

  •  
    • Jan 20 - May 5, 2026

    • Cao, X

  • Instruction Mode: In Person